Finite Group Databasebeta

D43×#3374 #25976302

order11008
automorphism?
homologyAbelianization (H1) = C25 · Schur multiplier (H2) = C28

Aliases

direct productD43×#3374

Splittings

FittingC43×#3374 ⋊ C2
SylowC43 ⋊ C2×#3374

Subgroups

subgroupG/H
centerC22C22×D4×D43
commutator, cosocleC2×C4×C43C25
FrattiniC2×C4C24×D43
FittingC43×#3374C2
socleC22×C43C23×D4
prime radicalC22×D43C22×D4
hypercenter#3374D43
hypocenterC43C2×#3374
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22 ◁ C4×Q8 ◁ #3374

1778 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

667 conjugacy classes — view the full character table.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(11008, 1049273);